Answer:
Step-by-step explanation:
the polynomial function is; (x - i)(x-2)(x+2)
First, we determine that the given equation in this item
is a linear equation. Thus, it should be a straight line. With this, we are
left with the third and fourth choice. Then, we substitute the given data
points to the equation and see if the points satisfy the given.
Choice 3:
<span> (1,3) :
(-5)(1) + (2)(3) = 1 TRUE</span>
<span> (3,8) :
(-5)(3) + 2(8) = 1 TRUE</span>
<span> (-3,-7)
: (-5)(-3) + (2)(-7) = 1 TRUE</span>
Choice 4:
<span> (4,-3) :
(-5)(4) + (2)(-3) ≠ 1 FALSE</span>
<span> (-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE</span>
<span> (-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE</span>
<span>Thus, the answer is the third choice.</span>
Rational numbers are closed under addition ,multiplication but not closed under division
Rational number
Closure property
assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example
rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication
that is 1+0 = 1 closed under addition
1*0 =0 closed under multiplication
but 1/0 is not defined so it is not closed under division
Hence Rational numbers are closed under addition ,multiplication but not closed under division
learn more of closure property here
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